Question

In a certain population, 10% of the people can be classified as being high risk for a heart attack. a) Three people are randomly selected from this population. What is the probability that exactly one of the three are high risk

Answer 1

Answer: 0.243.

Step-by-step explanation:

The probability in this case is approcimated by the probability distribution formula for random variables. This formula is denoted as:

P(X=r) = nCr * p^r * q^n-r

Where n = selected number to be sampled and in this case, n= 3

r = varied number of sample and in this case, r=1

P = probability of success and in this case p = 0.10

q = 1-p=1-0.1 = 0.9

P(X=1) = 3C1 × 0.1¹ × 0.9²

P(X=1) = 0.243.